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<b>An Object Oriented Finite Element Library</b></font></p>
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<div class="header">
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<a href="#pub-methods">Public Member Functions</a> &#124;
<a href="classOFELI_1_1Integration-members.html">List of all members</a>  </div>
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<div class="title">Integration Class Reference<div class="ingroups"><a class="el" href="group__OFELI.html">OFELI</a><a class="el" href="group__OFELI.html">OFELI</a> &raquo;  &#124; <a class="el" href="group__Solver.html">Solver</a></div></div>  </div>
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<p>Class for numerical integration methods.  
 <a href="classOFELI_1_1Integration.html#details">More...</a></p>
<table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
Public Member Functions</h2></td></tr>
<tr class="memitem:a99fedbcd92c2d8eb0cab643e08a994ce"><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a99fedbcd92c2d8eb0cab643e08a994ce"></a>
&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classOFELI_1_1Integration.html#a99fedbcd92c2d8eb0cab643e08a994ce">Integration</a> ()</td></tr>
<tr class="memdesc:a99fedbcd92c2d8eb0cab643e08a994ce"><td class="mdescLeft">&#160;</td><td class="mdescRight">Default constructor. <br /></td></tr>
<tr class="separator:a99fedbcd92c2d8eb0cab643e08a994ce"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a4672d48296cbd574da470eb710122a7a"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classOFELI_1_1Integration.html#a4672d48296cbd574da470eb710122a7a">Integration</a> (<a class="el" href="group__Util.html#gaccfeb6b1e8cf41731fde610549bee67c">real_t</a> low, <a class="el" href="group__Util.html#gaccfeb6b1e8cf41731fde610549bee67c">real_t</a> high, function&lt; <a class="el" href="group__Util.html#gaccfeb6b1e8cf41731fde610549bee67c">real_t</a>(<a class="el" href="group__Util.html#gaccfeb6b1e8cf41731fde610549bee67c">real_t</a>)&gt; const &amp;f, <a class="el" href="group__OFELI.html#gac6182f91e9b5b2e053c56e00a35de854">IntegrationScheme</a> s, <a class="el" href="group__Util.html#gaccfeb6b1e8cf41731fde610549bee67c">real_t</a> error)</td></tr>
<tr class="memdesc:a4672d48296cbd574da470eb710122a7a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Constructor.  <a href="#a4672d48296cbd574da470eb710122a7a">More...</a><br /></td></tr>
<tr class="separator:a4672d48296cbd574da470eb710122a7a"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a27fdc443e848f75da803e3d08a7d7f85"><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a27fdc443e848f75da803e3d08a7d7f85"></a>
&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classOFELI_1_1Integration.html#a27fdc443e848f75da803e3d08a7d7f85">~Integration</a> ()</td></tr>
<tr class="memdesc:a27fdc443e848f75da803e3d08a7d7f85"><td class="mdescLeft">&#160;</td><td class="mdescRight">Destructor. <br /></td></tr>
<tr class="separator:a27fdc443e848f75da803e3d08a7d7f85"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a85b46015bfb0e017ac6446556e107164"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classOFELI_1_1Integration.html#a85b46015bfb0e017ac6446556e107164">setFunction</a> (function&lt; <a class="el" href="group__Util.html#gaccfeb6b1e8cf41731fde610549bee67c">real_t</a>(<a class="el" href="group__Util.html#gaccfeb6b1e8cf41731fde610549bee67c">real_t</a>)&gt; const &amp;f)</td></tr>
<tr class="memdesc:a85b46015bfb0e017ac6446556e107164"><td class="mdescLeft">&#160;</td><td class="mdescRight">Define function to integrate numerically.  <a href="#a85b46015bfb0e017ac6446556e107164">More...</a><br /></td></tr>
<tr class="separator:a85b46015bfb0e017ac6446556e107164"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae8a3575e77ddd46da6778d8de975e53a"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classOFELI_1_1Integration.html#ae8a3575e77ddd46da6778d8de975e53a">setScheme</a> (<a class="el" href="group__OFELI.html#gac6182f91e9b5b2e053c56e00a35de854">IntegrationScheme</a> s)</td></tr>
<tr class="memdesc:ae8a3575e77ddd46da6778d8de975e53a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Set time inegration scheme.  <a href="#ae8a3575e77ddd46da6778d8de975e53a">More...</a><br /></td></tr>
<tr class="separator:ae8a3575e77ddd46da6778d8de975e53a"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a3072aedb92fde50d8b1201bf52ce192c"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classOFELI_1_1Integration.html#a3072aedb92fde50d8b1201bf52ce192c">setTriangle</a> (<a class="el" href="group__Util.html#gaccfeb6b1e8cf41731fde610549bee67c">real_t</a> x1, <a class="el" href="group__Util.html#gaccfeb6b1e8cf41731fde610549bee67c">real_t</a> y1, <a class="el" href="group__Util.html#gaccfeb6b1e8cf41731fde610549bee67c">real_t</a> x2, <a class="el" href="group__Util.html#gaccfeb6b1e8cf41731fde610549bee67c">real_t</a> y2, <a class="el" href="group__Util.html#gaccfeb6b1e8cf41731fde610549bee67c">real_t</a> x3, <a class="el" href="group__Util.html#gaccfeb6b1e8cf41731fde610549bee67c">real_t</a> y3)</td></tr>
<tr class="memdesc:a3072aedb92fde50d8b1201bf52ce192c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Define integration domain as a quadrilateral.  <a href="#a3072aedb92fde50d8b1201bf52ce192c">More...</a><br /></td></tr>
<tr class="separator:a3072aedb92fde50d8b1201bf52ce192c"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a4746c65eef73fb00087c25afa2b5de25"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classOFELI_1_1Integration.html#a4746c65eef73fb00087c25afa2b5de25">setQuadrilateral</a> (<a class="el" href="group__Util.html#gaccfeb6b1e8cf41731fde610549bee67c">real_t</a> x1, <a class="el" href="group__Util.html#gaccfeb6b1e8cf41731fde610549bee67c">real_t</a> y1, <a class="el" href="group__Util.html#gaccfeb6b1e8cf41731fde610549bee67c">real_t</a> x2, <a class="el" href="group__Util.html#gaccfeb6b1e8cf41731fde610549bee67c">real_t</a> y2, <a class="el" href="group__Util.html#gaccfeb6b1e8cf41731fde610549bee67c">real_t</a> x3, <a class="el" href="group__Util.html#gaccfeb6b1e8cf41731fde610549bee67c">real_t</a> y3, <a class="el" href="group__Util.html#gaccfeb6b1e8cf41731fde610549bee67c">real_t</a> x4, <a class="el" href="group__Util.html#gaccfeb6b1e8cf41731fde610549bee67c">real_t</a> y4)</td></tr>
<tr class="memdesc:a4746c65eef73fb00087c25afa2b5de25"><td class="mdescLeft">&#160;</td><td class="mdescRight">Define integration domain as a quadrilateral.  <a href="#a4746c65eef73fb00087c25afa2b5de25">More...</a><br /></td></tr>
<tr class="separator:a4746c65eef73fb00087c25afa2b5de25"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a4e221062ec88b6f591aa4501f4f7d9b5"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group__Util.html#gaccfeb6b1e8cf41731fde610549bee67c">real_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classOFELI_1_1Integration.html#a4e221062ec88b6f591aa4501f4f7d9b5">run</a> ()</td></tr>
<tr class="memdesc:a4e221062ec88b6f591aa4501f4f7d9b5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Run numerical integration.  <a href="#a4e221062ec88b6f591aa4501f4f7d9b5">More...</a><br /></td></tr>
<tr class="separator:a4e221062ec88b6f591aa4501f4f7d9b5"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table>
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>Class for numerical integration methods. </p>
<p>Class NumInt defines and stores numerical integration data</p>
<dl class="section author"><dt>Author</dt><dd>Rachid Touzani </dd></dl>
<dl class="section copyright"><dt>Copyright</dt><dd>GNU Lesser Public License </dd></dl>
</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
<a class="anchor" id="a4672d48296cbd574da470eb710122a7a"></a>
<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname"><a class="el" href="classOFELI_1_1Integration.html">Integration</a> </td>
          <td>(</td>
          <td class="paramtype"><a class="el" href="group__Util.html#gaccfeb6b1e8cf41731fde610549bee67c">real_t</a>&#160;</td>
          <td class="paramname"><em>low</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype"><a class="el" href="group__Util.html#gaccfeb6b1e8cf41731fde610549bee67c">real_t</a>&#160;</td>
          <td class="paramname"><em>high</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">function&lt; <a class="el" href="group__Util.html#gaccfeb6b1e8cf41731fde610549bee67c">real_t</a>(<a class="el" href="group__Util.html#gaccfeb6b1e8cf41731fde610549bee67c">real_t</a>)&gt; const &amp;&#160;</td>
          <td class="paramname"><em>f</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype"><a class="el" href="group__OFELI.html#gac6182f91e9b5b2e053c56e00a35de854">IntegrationScheme</a>&#160;</td>
          <td class="paramname"><em>s</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype"><a class="el" href="group__Util.html#gaccfeb6b1e8cf41731fde610549bee67c">real_t</a>&#160;</td>
          <td class="paramname"><em>error</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

<p>Constructor. </p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramdir">[in]</td><td class="paramname">low</td><td>Lower value of integration interval </td></tr>
    <tr><td class="paramdir">[in]</td><td class="paramname">high</td><td>Upper value of integration interval </td></tr>
    <tr><td class="paramdir">[in]</td><td class="paramname">f</td><td>Function to integrate </td></tr>
    <tr><td class="paramdir">[in]</td><td class="paramname">s</td><td><a class="el" href="classOFELI_1_1Integration.html" title="Class for numerical integration methods. ">Integration</a> scheme. To choose among enumerated values: <ul>
<li>
<code>LEFT_RECTANGLE</code>: </li>
<li>
<code>RIGHT_RECTANGLE</code>: </li>
<li>
<code>MID_RECTANGLE</code>: </li>
<li>
<code>TRAPEZOIDAL</code>: </li>
<li>
<code>SIMPSON</code>: </li>
<li>
<code>GAUSS_LEGENDRE</code>: </li>
</ul>
</td></tr>
    <tr><td class="paramdir">[in]</td><td class="paramname">error</td><td></td></tr>
  </table>
  </dd>
</dl>

</div>
</div>
<h2 class="groupheader">Member Function Documentation</h2>
<a class="anchor" id="a85b46015bfb0e017ac6446556e107164"></a>
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          <td class="memname">void setFunction </td>
          <td>(</td>
          <td class="paramtype">function&lt; <a class="el" href="group__Util.html#gaccfeb6b1e8cf41731fde610549bee67c">real_t</a>(<a class="el" href="group__Util.html#gaccfeb6b1e8cf41731fde610549bee67c">real_t</a>)&gt; const &amp;&#160;</td>
          <td class="paramname"><em>f</em></td><td>)</td>
          <td></td>
        </tr>
      </table>
</div><div class="memdoc">

<p>Define function to integrate numerically. </p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramdir">[in]</td><td class="paramname">f</td><td>Function to integrate </td></tr>
  </table>
  </dd>
</dl>

</div>
</div>
<a class="anchor" id="ae8a3575e77ddd46da6778d8de975e53a"></a>
<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">void setScheme </td>
          <td>(</td>
          <td class="paramtype"><a class="el" href="group__OFELI.html#gac6182f91e9b5b2e053c56e00a35de854">IntegrationScheme</a>&#160;</td>
          <td class="paramname"><em>s</em></td><td>)</td>
          <td></td>
        </tr>
      </table>
</div><div class="memdoc">

<p>Set time inegration scheme. </p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramdir">[in]</td><td class="paramname">s</td><td>Scheme to choose among enumerated values: <ul>
<li>
<code>LEFT_RECTANGLE</code>: </li>
<li>
<code>RIGHT_RECTANGLE</code>: </li>
<li>
<code>MID_RECTANGLE</code>: </li>
<li>
<code>TRAPEZOIDAL</code>: </li>
<li>
<code>SIMPSON</code>: </li>
<li>
<code>GAUSS_LEGENDRE</code>: </li>
</ul>
</td></tr>
  </table>
  </dd>
</dl>

</div>
</div>
<a class="anchor" id="a3072aedb92fde50d8b1201bf52ce192c"></a>
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          <td class="memname">void setTriangle </td>
          <td>(</td>
          <td class="paramtype"><a class="el" href="group__Util.html#gaccfeb6b1e8cf41731fde610549bee67c">real_t</a>&#160;</td>
          <td class="paramname"><em>x1</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype"><a class="el" href="group__Util.html#gaccfeb6b1e8cf41731fde610549bee67c">real_t</a>&#160;</td>
          <td class="paramname"><em>y1</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype"><a class="el" href="group__Util.html#gaccfeb6b1e8cf41731fde610549bee67c">real_t</a>&#160;</td>
          <td class="paramname"><em>x2</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype"><a class="el" href="group__Util.html#gaccfeb6b1e8cf41731fde610549bee67c">real_t</a>&#160;</td>
          <td class="paramname"><em>y2</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype"><a class="el" href="group__Util.html#gaccfeb6b1e8cf41731fde610549bee67c">real_t</a>&#160;</td>
          <td class="paramname"><em>x3</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype"><a class="el" href="group__Util.html#gaccfeb6b1e8cf41731fde610549bee67c">real_t</a>&#160;</td>
          <td class="paramname"><em>y3</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

<p>Define integration domain as a quadrilateral. </p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramdir">[in]</td><td class="paramname">x1</td><td>x-coordinate of first vertex of triangle </td></tr>
    <tr><td class="paramdir">[in]</td><td class="paramname">y1</td><td>y-coordinate of first vertex of triangle </td></tr>
    <tr><td class="paramdir">[in]</td><td class="paramname">x2</td><td>x-coordinate of second vertex of triangle </td></tr>
    <tr><td class="paramdir">[in]</td><td class="paramname">y2</td><td>y-coordinate of second vertex of triangle </td></tr>
    <tr><td class="paramdir">[in]</td><td class="paramname">x3</td><td>x-coordinate of third vertex of triangle </td></tr>
    <tr><td class="paramdir">[in]</td><td class="paramname">y3</td><td>y-coordinate of third vertex of triangle </td></tr>
  </table>
  </dd>
</dl>

</div>
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          <td class="memname">void setQuadrilateral </td>
          <td>(</td>
          <td class="paramtype"><a class="el" href="group__Util.html#gaccfeb6b1e8cf41731fde610549bee67c">real_t</a>&#160;</td>
          <td class="paramname"><em>x1</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype"><a class="el" href="group__Util.html#gaccfeb6b1e8cf41731fde610549bee67c">real_t</a>&#160;</td>
          <td class="paramname"><em>y1</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype"><a class="el" href="group__Util.html#gaccfeb6b1e8cf41731fde610549bee67c">real_t</a>&#160;</td>
          <td class="paramname"><em>x2</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype"><a class="el" href="group__Util.html#gaccfeb6b1e8cf41731fde610549bee67c">real_t</a>&#160;</td>
          <td class="paramname"><em>y2</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype"><a class="el" href="group__Util.html#gaccfeb6b1e8cf41731fde610549bee67c">real_t</a>&#160;</td>
          <td class="paramname"><em>x3</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype"><a class="el" href="group__Util.html#gaccfeb6b1e8cf41731fde610549bee67c">real_t</a>&#160;</td>
          <td class="paramname"><em>y3</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype"><a class="el" href="group__Util.html#gaccfeb6b1e8cf41731fde610549bee67c">real_t</a>&#160;</td>
          <td class="paramname"><em>x4</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype"><a class="el" href="group__Util.html#gaccfeb6b1e8cf41731fde610549bee67c">real_t</a>&#160;</td>
          <td class="paramname"><em>y4</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
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<p>Define integration domain as a quadrilateral. </p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramdir">[in]</td><td class="paramname">x1</td><td>x-coordinate of first vertex of quadrilateral </td></tr>
    <tr><td class="paramdir">[in]</td><td class="paramname">y1</td><td>y-coordinate of first vertex of quadrilateral </td></tr>
    <tr><td class="paramdir">[in]</td><td class="paramname">x2</td><td>x-coordinate of second vertex of quadrilateral </td></tr>
    <tr><td class="paramdir">[in]</td><td class="paramname">y2</td><td>y-coordinate of second vertex of quadrilateral </td></tr>
    <tr><td class="paramdir">[in]</td><td class="paramname">x3</td><td>x-coordinate of third vertex of quadrilateral </td></tr>
    <tr><td class="paramdir">[in]</td><td class="paramname">y3</td><td>y-coordinate of third vertex of quadrilateral </td></tr>
    <tr><td class="paramdir">[in]</td><td class="paramname">x4</td><td>x-coordinate of fourth vertex of quadrilateral </td></tr>
    <tr><td class="paramdir">[in]</td><td class="paramname">y4</td><td>y-coordinate of fourth vertex of quadrilateral </td></tr>
  </table>
  </dd>
</dl>

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          <td class="memname"><a class="el" href="group__Util.html#gaccfeb6b1e8cf41731fde610549bee67c">real_t</a> run </td>
          <td>(</td>
          <td class="paramname"></td><td>)</td>
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<p>Run numerical integration. </p>
<dl class="section return"><dt>Returns</dt><dd>Computed approximate value of integral </dd></dl>

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